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Finding the Fourth Proportional to 108.21, 161.22 and 101.22

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Solution

The fourth proportional to 108.21, 161.22 and 101.22 is: 150.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.21 : 161.22 = 101.22 : x
  2. Step 2: Convert to fraction form
    108.21/161.22 = 101.22/x
  3. Step 3: Cross multiply
    108.21x = 161.22 × 101.22
  4. Step 4: Simplify right side
    108.21x = 16,318.69
  5. Step 5: Solve for x
    x = 16,318.69/108.21
  6. Step 6: Final answer
    x = 150.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.